Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
Advances in Difference Equations, 2006 We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear alternative of Leray-Schauder type combined
Henderson Johnny +2 more
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Neutral Difference System and its Nonoscillatory Solutions
Tatra Mountains Mathematical Publications, 2018 Abstract The paper deals with a system of four nonlinear difference equations where the first equation is of a neutral type. We study nonoscillatory solutions of the system and we present sufficient conditions for the system to have weak property B.
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A classification scheme for nonoscillatory solutions of a higher order neutral difference equation
Advances in Difference Equations, 2006 Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii's fixed point theorem, existence criteria are then provided for justification of ...
Cheng Sui Sun +2 more
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Nonoscillatory Solutions of Differential Equations with Retarded Arguments
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1975 KUSANO, Takasi, ONOSE, Hiroshi
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Collective Synchronous Spiking in a Brain Network of Coupled Nonlinear Oscillators. [PDF]
Phys Rev Lett, 2021 Galinsky VL, Frank LR.
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Nonoscillatory solutions of systems of neutral differential equations
Hiroshima Mathematical Journal, 1992 The author considers the system of neutral differential equations of the form \[ (1\mu){d^ n\over dt^ n}[x_ i(t)+(-1)^ \mu a_ i(t)x_ i(h_ i(t))]=\sum^ N_{j=1}P_{ij}(t)f_{ij}(x_ j(g_{ij}(t))), \] \(i=1,2,\dots,N\), \(N\geq 2\), \(n\geq 1\), \(\mu\in\{0,1\}\), \(t_ 0\geq 0\), where (a) \(a_ i:[t_ 0,\infty)\to(0,\beta_ i ...
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Existence of Nonoscillatory Solutions for System of Higher Order Neutral Differential Equations with Distributed Delay [PDF]
, 2015 This article contains some sufficient conditions for the existence of nonoscillatory solutions for the systems of higher order neutral differential equations.
Candan, T., Gecgel, A. M.
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MathematicsThis paper investigates the existence and uniqueness of bounded nonoscillatory solutions for two classes of m-th-order nonlinear neutral differential equations that incorporate both discrete and distributed delays.
Mouataz Billah Mesmouli +2 more
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The Epileptor Model: A Systematic Mathematical Analysis Linked to the Dynamics of Seizures, Refractory Status Epilepticus, and Depolarization Block. [PDF]
eNeuro, 2020 El Houssaini K, Bernard C, Jirsa VK.
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Highly Altered State of Proton Transport in Acid Pools in Charged Reverse Micelles. [PDF]
J Am Chem Soc, 2023 Hao H +5 more
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